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Simplifying 2(b + -2) = 3(b + 5) Reorder the terms: 2(-2 + b) = 3(b + 5) (-2 * 2 + b * 2) = 3(b + 5) (-4 + 2b) = 3(b + 5) Reorder the terms: -4 + 2b = 3(5 + b) -4 + 2b = (5 * 3 + b * 3) -4 + 2b = (15 + 3b) Solving -4 + 2b = 15 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -4 + 2b + -3b = 15 + 3b + -3b Combine like terms: 2b + -3b = -1b -4 + -1b = 15 + 3b + -3b Combine like terms: 3b + -3b = 0 -4 + -1b = 15 + 0 -4 + -1b = 15 Add '4' to each side of the equation. -4 + 4 + -1b = 15 + 4 Combine like terms: -4 + 4 = 0 0 + -1b = 15 + 4 -1b = 15 + 4 Combine like terms: 15 + 4 = 19 -1b = 19 Divide each side by '-1'. b = -19 Simplifying b = -19
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